Research at the Department of Mathematics

The Department of Mathematics consists of two divisions, mathematics and mathematical statistics.

At the Division of Mathematics research is carried out in areas such as algebra, analysis, geometry and mathematical logic. At the Division of Mathematical Statistics, research is carried out in areas such as biostatistics, financial mathematics, chemometrics and probability theory.

Research Groups

Research group in Algebra, Geometry, Topology, and CombinatoricsThe research group in algebra, geometry, topology, and combinatorics is active in several areas of these fields including, commutative and homological algebra, complex and real algebraic geometry as well as arithmetic geometry, homotopy theory, Ramsey theory and a number of other topics.

Research group in AnalysisMathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.

Research group in Mathematical LogicLogic as an academic subject is the study of reasoning, and mathematical logic is the study of mathematical reasoning its various precise forms. The research group in mathematical logic is active in several areas of the field including, constructive mathematics, type theory and category-theoretic logic, as well as the philosophical aspects of logic and mathematics.

Research group in Mathematical StatisticsThe research in mathematical statistics comprises probability theory
and statistical inference theory with applications in many domains. Our
research group interest has focus on the applications in biostatistics
(in particular genetics, epidemic spread, neural systems), climatology,
econometrics, finance and insurance. Several people in the group are
interested in probabilistic modelling and analysis of random networks
(and more generally of discrete probability).